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Finding the Third Proportional to 366,458.13 and 560,585.44

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Solution

The third proportional to 366,458.13 and 560,585.44 is: 857,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,458.13 : 560,585.44 = 560,585.44 : x
  2. Step 2: Convert to fraction form
    366,458.13/560,585.44 = 560,585.44/x
  3. Step 3: Cross multiply
    366,458.13x = 560,585.44 × 560,585.44
  4. Step 4: Simplify right side
    366,458.13x = 314,256,032,737.07
  5. Step 5: Solve for x
    x = 314,256,032,737.07/366,458.13
  6. Step 6: Final answer
    x = 857,549.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.